Many mathematical models of natural phenomena admit symmetries that are related to some physical or geometric regularities. In this way, we arrive at the following paradigmatic question: what is the link between symmetries of a differential system and symmetries of its solutions? In this book, we introduce an abstract functional analysis framework and equivariant degree methodology for studying implicit boundary value/Hopf bifurcation problems in the presence of group symmetries via the transition to the equivariant multivalued differential inclusions. The methodology is applied to three...